Regular Hexagon ABCDEF rotates 240' counterclockwise about its center to produce hexagon A'B'C'D'E'F'. Which points will A' and B' coincide within the pre image

Answers

Answer 1

Answer:

Answer:

A' will coincide with C of the pre image, and B' will coincide with D of the pre image.

Step-by-step explanation:

A Regular Hexagon could be imagined as a circle divided into six points on the circle, that are separated by angles of 60° (notice that 6 times 60° is 360°).

Now we name each point as ABCDEF clockwise, and then we rotate the hexagon about its center (counterclockwise)... the original points ABCDEF are renamed as A'B'C'D'E'F' in the rotated hexagon.

As the rotation was of 240°, the points will coincide with some of the original points: point A will "jump" for points, the same as point B.

This means that point A rotated, (wich is A') will coincide with point C pre rotated, and that point B rotated, (wich is B') will coincide with point D pre rotated.

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Rich had 10 slices of pizzas. He shared 2 pieces with each of his 3 brothers and ate 1 piece himself. After this he decided to buy 6 more slices of pizza. How many slices of pizza does he have now?

Answers

Answer:

the answer is 10

Step-by-step explanation:

Answer: 10 slices

Step-by-step explanation:

10-2-3-1=4

4+6=10

Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.

Answers

The equation for a parabola can also be written in the "vertex form":
$y = a (x-h) ^ 2 + k$
Where,
the vertex of the parabola is the point (h, k).
The value of a is the term that accompanies x ^ 2
Substituting values we have:
$y = a (x - (- 4)) ^ 2 + 7$
Rewriting we have:
$y = a (x + 4) ^ 2 + 7$
For the point (-3, 8) we have:
$8 = a (-3 + 4) ^ 2 + 7$
From here, we clear the value of a:
$8 = a (1) ^ 2 + 7 8 = a + 7 a = 8 - 7 a = 1$
Then, the equation is given by:
$y = (x + 4) ^ 2 + 7$
Answer:
The equation of the parabola in vertex form is:
$y = (x + 4) ^ 2 + 7$

y=a(x-h)^2 +k
in the vertex (h, k) given that vertex (-4, 7)
we get y=(x-(-4))^2 +7
y=(x+4)^2 +7
hope it helps

What is the simplified form of 8b^3c^2 + 4b^3c^2 ?

Answers

it would be 12b³c².

hope this helps you

it would be 12b³c² That is the answer hope that helps

What is the expanded expression form that is equivalent to 3(x + 3y)?

Answers

Answer:

$\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}$

$3(x + 3y) \n = 3x + 9y$

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

What is the expanded expression form that is equivalent to 3(x+3y) ?

It is = 3x+9y

A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Answers

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

Read related link on:

brainly.com/question/16733139

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.First 3 people get a brainly

Answers

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

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